Motivic Donaldson-Thomas invariants for symmetric quivers were introduced by Kontsevich and Soibelman around 2010. The initial goal was to capture motivic properties of stacks of quiver representations. However, it turned out that these invariants admit a lot of beautiful interpretations of algebraic, geometric and combinatorial nature.
Among the structures naturally popping up in the theory are the cohomological Hall algebras, vertex operators algebras, Hilbert schemes, BPS states, and the Koszul duality.
The goal of this event is to bring together mathematicians and physicists working with the motivic Donaldson-Thomas invariants. We expect that the experts will be able to exchange their ideas and insights, which will lead to a better understanding of the existing results and their interrelationships, as well as to new directions.